Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
Answer:
The perimeter of rectangle is 48 cm.
Step-by-step explanation:
First, you have to form an expression for the length and the width. Let x be the width :
width = x cm
length = 3 × x = 3x cm
Then, you have to apply area of rectangle formula, A = length × width to find the value of x.Let area equals to 108 :
A = length × width
108 = 3x × x
3x² = 108
x² = 108 ÷ 3
x² = 36
x = √36
x = 6 cm
Lastly, you have to find perimeter :
length = 3 × 6 = 18 cm
width = 6 cm
Perimeter = 2(length + width)
P = 2(18 + 6)
P = 2(24)
P = 48 cm
the selling price of each hat should be $17.85,
first step is to divide the total price of all the hats by 6 76.5/6=12.75
then take the price of each individual hat and multiply it by 40 percent 12.75x0.4=5.1
then add 5.1 to individual hat price 5.1+12.75=17.85
Everything but C or all of the above because they can all be decimals technically
Answer: m+8 =
Step-by-step explanation:
